Abstract

This paper deals with the H ∞ control problems for discrete-time linear systems with time-varying delays in state. In this paper, the H ∞ control law is assumed to be a memoryless state feedback and the size of time-varying delays considered is upper-bounded. The solution of the H ∞ control problem for discrete-time linear systems with time-varying delays in state can be obtained by solving an H ∞ control problem for auxiliary discrete-time linear systems with no time delays.

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